Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

When you hear the words "rational" and "irrational," they might bring to mind the relentlessly analytical Spock in "Star Trek." If you're a mathematician, however, you probably think of ratios between ...

When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...

Title: how to identify your irrational beliefs. Irrational beliefs (B's) consist of absolutes, demands, and global evaluations. These demands are often expressed in the form of musts, shoulds, have to ...

Rational emotive behavior therapy (REBT) is a type of therapy introduced by Albert Ellis in the 1950s. It’s an approach that helps you identify irrational beliefs and negative thought patterns that ...

Why do irrational numbers exist? originally appeared on Quora: the place to gain and share knowledge, empowering people to learn from others and better understand the world. Answer by Alon Amit, PhD ...

The ancient scholar Hippasus of Metapontum was punished with death for his discovery of irrational numbers—or at least that’s the legend. What actually happened in the fifth century B.C.E. is far from ...

Rational Emotive Behavior Therapy (REBT) is an established cognitive-behavioural intervention centred on identifying and challenging irrational beliefs that contribute to emotional disturbances.